Am I cap exempt? I had an H1B starting in 2006, returned to India, and may be offered a job now in US.

Looks like you were out of the country for long enough to be not exempt.

Does the DOL considers Spanish as a foreign language for PERM purposes in the specific case of the job being in the US, Spanish-

yes

L1A VISA from Canada Option Question. On L1B currently and Valid I94 till 2015. Can i return to US if L1A rejected from canada

You should follow your attorney's advice.

When it start counting my 3 years for residency ?

You count your residency from the day you were granted permanent residence status, even if it was conditional. As to the physical presence for...

On L1 in USA, need to travel to Canada to renew I94

You should consult with your attorney as to where you need to go if at all to renew your L1 visa. Visas are processed by the consulates. I-94...

Can I work if my EAD is expiring in next 15 days but I applied for renewal?

Aliens in certain nonimmigrant categories are authorized to continue working for the same employer for a period not to exceed 240 days after the...

Filing an I-864. Income has changed. Do we still need a joint sponsor?

No need in joint sponsor as long as there is strong proof of increased income.

My brother won the diversity visa but is about to apply for a J 1 visa to begin a medical training residency. What should he do?

Of course, he should try to pursue the green card.

You should be ok, as long as you have the receipt.

Would there be any reason for an individual applying for US citizenship not be allowed to travel between states?(Cali to Az?)

There is no reason, if the individual complied with the physical presence requirements (3 months of residence in the district before application). ...